- #1
klmdad
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Can you work this out step by step so I can see how to do it. Thank you
h(t) = (t^4 - 1)^3(t^3+1)^4
h(t) = (t^4 - 1)^3(t^3+1)^4
Last edited:
klmdad said:Can you work this out step by step so I can see how to do it. Thank you
h(t) = (t^4 - 1)^3(t^3+1)^4
klmdad said:Can you work this out step by step so I can see how to do it. Thank you
h(t) = (t^4 - 1)^3(t^3+1)^4
klmdad said:Can you work this out step by step so I can see how to do it.
A derivative is a mathematical concept that represents the rate of change of a function at a specific point. It is also known as the slope of a tangent line at that point.
Finding the derivative is important because it allows us to analyze the behavior of a function at a specific point. It is also essential in many areas of science and engineering, such as physics, economics, and optimization problems.
The process for finding the derivative of a function involves using the rules of differentiation, such as the power rule, product rule, quotient rule, and chain rule. It is also helpful to have a good understanding of algebra and trigonometry to simplify the function before taking the derivative.
No, not every function has a derivative. Functions that are not continuous or have sharp turns, corners, or vertical asymptotes do not have a derivative. Additionally, some functions may have a derivative at some points but not at others.
There are many real-world applications of finding derivatives, including calculating velocity and acceleration in physics, maximizing profits in economics, and predicting changes in stock prices in finance. It is also used in engineering to optimize designs and in biology to model population growth and decay.